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Finding the Third Proportional to 47,482 and 110,927

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Solution

The third proportional to 47,482 and 110,927 is: 259,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482 : 110,927 = 110,927 : x
  2. Step 2: Convert to fraction form
    47,482/110,927 = 110,927/x
  3. Step 3: Cross multiply
    47,482x = 110,927 × 110,927
  4. Step 4: Simplify right side
    47,482x = 12,304,799,329
  5. Step 5: Solve for x
    x = 12,304,799,329/47,482
  6. Step 6: Final answer
    x = 259,146.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.